A simple random sample of size n is drawn. The sample mean,x,is found to be19.1,and the sample standard deviation, s, is found to be4.1. (c) Construct a99%confidence interval aboutμif the sample size, n, is35. Lower bound: Upper bound: (Use ascending order. Round to two decimal places as needed.)Part 5Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E? A.The margin of error decreases. B.The margin of error increases. C.The margin of error does not change.Part 6(d) If the sample size is12,what conditions must be satisfied to compute the confidence interval? A.The sample data must come from a population that is normally distributed with no outliers. B.The sample size must be large and the sample should not have any outliers. C.The sample must come from a population that is normally distributed and the sample size must be large. More

Given that Sample mean =19.1 Standard deviation =4.1

Answered: A simple random sample of size n is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Part 5

Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E?

The margin of error decreases.

The margin of error increases.

The margin of error does not change.

Part 6

(d) If the sample size is

12,

what conditions must be satisfied to compute the confidence interval?

The sample data must come from a population that is normally distributed with no outliers.

The sample size must be large and the sample should not have any outliers.

The sample must come from a population that is normally distributed and the sample size must be large.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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